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Finding the Fourth Proportional to 185,278.16, 255,684.75 and 100,395.38

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Solution

The fourth proportional to 185,278.16, 255,684.75 and 100,395.38 is: 138,546.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,278.16 : 255,684.75 = 100,395.38 : x
  2. Step 2: Convert to fraction form
    185,278.16/255,684.75 = 100,395.38/x
  3. Step 3: Cross multiply
    185,278.16x = 255,684.75 × 100,395.38
  4. Step 4: Simplify right side
    185,278.16x = 25,669,567,636.46
  5. Step 5: Solve for x
    x = 25,669,567,636.46/185,278.16
  6. Step 6: Final answer
    x = 138,546.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.